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Finding the Third Proportional to 317,246 and 686,764

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Solution

The third proportional to 317,246 and 686,764 is: 1,486,684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,246 : 686,764 = 686,764 : x
  2. Step 2: Convert to fraction form
    317,246/686,764 = 686,764/x
  3. Step 3: Cross multiply
    317,246x = 686,764 × 686,764
  4. Step 4: Simplify right side
    317,246x = 471,644,791,696
  5. Step 5: Solve for x
    x = 471,644,791,696/317,246
  6. Step 6: Final answer
    x = 1,486,684.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.